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13.3 Images in Lenses
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Sideways Displacement in a rectangular prism
The emergent ray will always be parallel to the incident ray, but displaced sideways. The amount of displacement depends on the thickness of the prism. See Fig. 1 p. 557
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Relevance? This is the same with lenses. The greater the thickness, or curvature, the greater the refraction.
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Rules for Locating the Image in a Converging Lens
A ray parallel to the principal axis is refracted through the principal focus. A ray through the secondary principal focus (F’) is refracted parallel to the principal axis. A ray through the optical centre continues straight through.
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Images in a Converging Lens
Case 1: Beyond 2F’ Case 2: At 2F’ Case 3: Between 2F’ and F’ Case 4: At F’ Case 5: Inside F’
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Case 1: Beyond 2F’
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Case 2: At 2F’
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Case 3: Between 2F’ and F’
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Case 4: At F’
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Case 5: Inside F’
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Summary
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Imaging Properties of a Converging Lens (Table 1, pg 559)
Object Image Location Size Attitude Type Beyond 2F’ At 2F’ Between 2F’ and F’ At F’ Inside F’ Between 2F and F Smaller Inverted Real Same Inverted At 2F Real Larger Inverted Beyond 2F Real No Clear Image Same Side as object Larger Upright Virtual
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Images in a Diverging Lens
A diverging lens always produces the same image characteristics no matter where the object is. Always smaller, upright, on the same side of the lens as the object, and virtual.
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Rules for Locating the Image in a Diverging Lens (pg 559)
A ray parallel to the principal axis is refracted as if it had come through the principal focus (F). A ray that appears to pass through the secondary principal focus (F’) is refracted parallel to the principal axis. A ray through the optical centre continues straight on its path.
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Beyond 2F Between 2F&F At F
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Image is always smaller, upright, same side as object, virtual
Summary Image is always smaller, upright, same side as object, virtual
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Classwork p. 561 # 1 – 5
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